The Minimum Distance of Some Narrow-Sense Primitive BCH Codes
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Publication:4591232
DOI10.1137/16M1108431zbMath1420.94112arXiv1711.01074MaRDI QIDQ4591232
Publication date: 13 November 2017
Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.01074
association schemequadratic formweight distributionminimum distancesymmetric bilinear formBCH codealternating bilinear formnarrow-sense primitive BCH codecode and design in association schemeinner distributionpunctured generalized Reed-Muller codepunctured Reed-Müller code
Related Items (17)
A class of constacyclic BCH codes ⋮ A class of almost MDS codes ⋮ More results on hulls of some primitive binary and ternary BCH codes ⋮ Four infinite families of ternary cyclic codes with a square-root-like lower bound ⋮ Three classes of BCH codes and their duals ⋮ Some new results on dimension and Bose distance for various classes of BCH codes ⋮ Parameters of hulls of primitive binary narrow-sense BCH codes and their subcodes ⋮ Five infinite families of binary cyclic codes and their related codes with good parameters ⋮ BCH cyclic codes ⋮ Linear codes from weakly regular plateaued functions and their secret sharing schemes ⋮ BCH Codes with Minimum Distance Proportional to Code Length ⋮ Five families of the narrow-sense primitive BCH codes over finite fields ⋮ On some cyclic codes of length \(\frac{q^{2m} - 1}{q + 1} \) ⋮ A class of narrow-sense BCH codes over \(\mathbb{F}_q\) of length \(\frac{q^m-1}{2} \) ⋮ Quadratic and symmetric bilinear forms over finite fields and their association schemes ⋮ Parameters and characterizations of hulls of some projective narrow-sense BCH codes ⋮ On the weight distribution of second order Reed-Muller codes and their relatives
Uses Software
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